Answer:
x=-9,y=-4
Step-by-step explanation:
2x-3y=-6...(1)
-2x-2y=26...(2)
To solve we will have to eliminate one of the given variables, the variable to be eliminated is x
And it can be done by adding up (1) and (2)
It gives
-5y=20
Divide both sides by-5
y=-4
Then substitute the value of y into (1)
2x-3(-4)=-6
2x+12=-6
Substrate 12 from both sides
2x=-18
Divide both sides by 2
x=-9
Therefore x gives -9 and y gives-4
The answer is 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ
(a - b)² = a² - 2ab + b²
(3x²ᵃ - 4yᵃz³ᵃ)² = (3x²ᵃ)² - 2 * 3x²ᵃ * 4yᵃz³ᵃ + (4yᵃz³ᵃ)² =
= 3²x²ᵃ*² - 2 * 3 * 4 x²ᵃ * yᵃz³ᵃ + 4²yᵃ*²z³ᵃ*² =
= 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ
-2
Divide each term (-4x = 8 by -4)
Cancel the common factor of -4
x = 8/-4
THEN DIVIDE
x=-2
Answer:
12 cm
Step-by-step explanation:
The Pythagorean Theorem is as follows:
A and B represent the side lengths (legs) and C represents the hypotenuse.
The length of one leg equals 5cm. (This can be represented by either a or b)
The hypotenuse equals 13 cm.
Plug these into the equation from above:
Solve for the other leg:
Square what's in the parentheses from above
Subtract 25 from 169
Square root both sides
a = 12 cm
Thus, the length of the other leg is 12 cm.
Let's check our answer:
Square everything
144 + 25 = 169 Add
169 = 169
Because both sides are equal it means that 12 cm is the correct answer.
Hope this helps!!
